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研究具有流变特性的由一个Maxwell体和任意个Kelvin体串联组成的广义Kelvin模型,并对其本构关系进行推导。在Microsoft Visual Studio平台上采用C++语言编译模型的头文件和源文件,开发出广义Kelvin模型的动态链接库(DLL)文件,在二维颗粒流程序(PFC2D)中对DLL文件进行加载调用,实现对广义Kelvin模型的开发。对含不同数量Kelvin体的广义Kelvin模型进行应力松弛模拟试验,得到接触力随时间的变化关系并与理论解对比,验证了开发模型的准确性。在此基础上,以某露天煤矿的含粉质黏土边坡为工程实例,利用开发的广义Kelvin模型对其失稳过程进行模拟,所得结果与边坡现场特殊的帽檐形破坏模式相符,而与采用普通线弹性模型模拟得到的边坡失稳形态为“圆弧滑动”不一致,说明该模型可用于研究此类含粉质黏土边坡失稳的破坏机制,并在此基础上,提出了对该类含具有流变特性的粉质黏土边坡的处治建议,研究结论可为今后类似研究提供有益的参考。
The generalized Kelvin model with a series of Maxwell bodies and any Kelvin bodies with rheological properties is studied and its constitutive relations are deduced. In the Microsoft Visual Studio platform using C + + language compiler model header and source files to develop a generalized Kelvin model dynamic link library (DLL) file, in the two-dimensional particle flow program (PFC2D) DLL file loading call Development of Generalized Kelvin Model. The stress relaxation experiment of generalized Kelvin model with different numbers of Kelvin bodies is carried out. The relationship between contact force and time is obtained and compared with theoretical solutions. The accuracy of the developed model is verified. On the basis of this, taking a silty clay slope in an opencast mine as an example, the generalized Kelvin model was used to simulate the instability process. The obtained results are consistent with the special failure mode of the hat-shaped roof at the slope, The slope instability mode simulated by the ordinary linear elastic model is inconsistent with the “circular slide”, which shows that the model can be used to study the failure mechanism of such unstable slope with silty clay, and on this basis, In order to deal with this type of silty clay slope with rheological characteristics, the research conclusions can provide useful reference for similar research in the future.